There has been tremendous progress in multi-parameter measurement of ultrafast laser, including optical spectrum and waveform. However, real-time measurement of full spectrum polarization state of ultrafast laser has not been reported. We simultaneously measure laser intensities of four channels by utilizing division-of-amplitude. Combining dispersive Fourier transform, dissipative soliton mode-locked by carbon nanotube can be easily detected by high-speed photodetector. By calibrating the system with tunable laser, we reconstruct the system matrix of each wavelength. According to intensity vector of dissipative soliton and the inverse matrix of the system, we get the full spectrum state of polarization in real time.